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108839674944 = 263372111389101
BaseRepresentation
bin110010101011101011…
…0011010010001000000
3101101221020001100122000
41211113112122101000
53240400424044234
6122000015544000
710602101654400
oct1452726322100
9341836040560
10108839674944
1142182182790
121911622b000
13a356cb7330
1453a7060800
152c702e7899
hex195759a440

108839674944 has 1344 divisors, whose sum is σ = 446571014400. Its totient is φ = 25546752000.

The previous prime is 108839674859. The next prime is 108839674949. The reversal of 108839674944 is 449476938801.

108839674944 is a `hidden beast` number, since 1 + 0 + 8 + 83 + 9 + 67 + 494 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108839674949) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1077620494 + ... + 1077620594.

It is an arithmetic number, because the mean of its divisors is an integer number (332270100).

Almost surely, 2108839674944 is an apocalyptic number.

108839674944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108839674944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223285507200).

108839674944 is an abundant number, since it is smaller than the sum of its proper divisors (337731339456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

108839674944 is a wasteful number, since it uses less digits than its factorization.

108839674944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 108839674944 in words is "one hundred eight billion, eight hundred thirty-nine million, six hundred seventy-four thousand, nine hundred forty-four".